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Finding the Fourth Proportional to 203,517.68, 280,868.56 and 112,881.92

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Solution

The fourth proportional to 203,517.68, 280,868.56 and 112,881.92 is: 155,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,517.68 : 280,868.56 = 112,881.92 : x
  2. Step 2: Convert to fraction form
    203,517.68/280,868.56 = 112,881.92/x
  3. Step 3: Cross multiply
    203,517.68x = 280,868.56 × 112,881.92
  4. Step 4: Simplify right side
    203,517.68x = 31,704,982,320.44
  5. Step 5: Solve for x
    x = 31,704,982,320.44/203,517.68
  6. Step 6: Final answer
    x = 155,784.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.